Beccaria, Matteo; Jiang, Hongliang; Tseytlin, Arkady A. (2019). Supersymmetric Liouville theory in AdS2 and AdS/CFT. Journal of High Energy Physics, 2019(11) Springer 10.1007/JHEP11(2019)051

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In a series of recent papers, a special kind of AdS2/CFT1 duality was observed: the boundary correlators of elementary fields that appear in the Lagrangian of a 2d conformal theory in rigid AdS2 background are the same as the correlators of the corresponding primary operators in the chiral half of that 2d CFT in at space restricted to the real line. The examples considered were: (i) the Liouville theory where the operator dual to the Liouville scalar in AdS2 is the stress tensor; (ii) the abelian Toda theory where the operators dual to the Toda scalars are the Walgebra generators; (iii) the nonabelian Toda theory where the Liouville field is dual to the stress tensor while the extra gauged WZW theory scalars are dual to nonabelian parafermionic operators. By direct Witten diagram computations in AdS2 one can check that the structure of the boundary correlators is indeed consistent with the Virasoro (or higher) symmetry. Here we consider a supersymmetric generalization: the N = 1 superconformal Liouville theory in AdS2. We start with the super Liouville theory coupled to 2d supergravity and show that a consistent restriction to rigid AdS2 background requires a nonzero value of the supergravity auxiliary field and thus a modification of the Liouville potential from its familiar atspace form. We show that the Liouville scalar and its fermionic partner are dual to the chiral half of the stress tensor and the supercurrent of the super Liouville theory on the plane. We perform tests supporting the duality by explicitly computing AdS2 Witten diagrams with bosonic and fermionic loops.
Item Type: 
Journal Article (Original Article) 

Division/Institute: 
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics 
UniBE Contributor: 
Jiang, Hongliang 
Subjects: 
500 Science > 530 Physics 
ISSN: 
10298479 
Publisher: 
Springer 
Language: 
English 
Submitter: 
Esther Fiechter 
Date Deposited: 
05 Feb 2020 10:49 
Last Modified: 
05 Feb 2020 10:49 
Publisher DOI: 
10.1007/JHEP11(2019)051 
ArXiv ID: 
1909.10255 
BORIS DOI: 
10.7892/boris.139645 
URI: 
https://boris.unibe.ch/id/eprint/139645 